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# 12X1 T08 01 binomial expansions

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### 12X1 T08 01 binomial expansions

1. 1. Binomial Theorem
2. 2. Binomial Theorem Binomial Expansions A binomial expression is one which contains two terms.
3. 3. Binomial Theorem Binomial Expansions A binomial expression is one which contains two terms.
4. 4. Binomial Theorem Binomial Expansions A binomial expression is one which contains two terms.
5. 5. Binomial Theorem Binomial Expansions A binomial expression is one which contains two terms.
6. 6. Binomial Theorem Binomial Expansions A binomial expression is one which contains two terms.
7. 7. Binomial Theorem Binomial Expansions A binomial expression is one which contains two terms.
8. 8. Blaise Pascal saw a pattern which we now know as Pascal’s Triangle
9. 9. Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1
10. 10. Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1 1 1
11. 11. Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1
12. 12. Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1
13. 13. Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1
14. 14. Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1
15. 15. Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1
16. 16. Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1
17. 17. Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 8 1
18. 18. Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 8 1 1 9 36 84 126 126 84 36 9 1
19. 19. Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 8 1 1 9 36 84 126 126 84 36 9 1 1 10 45 120 210 252 210 120 45 10 1
20. 33. Exercise 5A; 2ace etc, 4, 6, 7, 9ad, 12b, 13ac, 14ace, 16a, 22, 23